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155291904 = 28347489
BaseRepresentation
bin10010100000110…
…01000100000000
3101211012122110000
421100121010000
5304223320104
623224240000
73563650035
oct1120310400
9354178400
10155291904
117a727119
1244010000
1326232801
14168a538c
15d977639
hex9419100

155291904 has 90 divisors (see below), whose sum is σ = 463114190. Its totient is φ = 51757056.

The previous prime is 155291879. The next prime is 155291911. The reversal of 155291904 is 409192551.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 22581504 = 11520^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16992 + ... + 24480.

Almost surely, 2155291904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231557095).

155291904 is an abundant number, since it is smaller than the sum of its proper divisors (307822286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155291904 is an frugal number, since it uses more digits than its factorization.

155291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 155291904 is about 12461.6172305203. The cubic root of 155291904 is about 537.5055318702.

The spelling of 155291904 in words is "one hundred fifty-five million, two hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 7489 10368 14978 20736 22467 29956 44934 59912 67401 89868 119824 134802 179736 202203 239648 269604 359472 404406 479296 539208 606609 718944 808812 958592 1078416 1213218 1437888 1617624 1917184 2156832 2426436 2875776 3235248 4313664 4852872 5751552 6470496 8627328 9705744 12940992 17254656 19411488 25881984 38822976 51763968 77645952 155291904